Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
19th September 2015
- 1Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 128°. Work out angle ABC, where B is on the major arc.
- 2Venn Diagrams3 marks
In a Venn diagram, 18 are in A only, 17 in B only, 8 in both and 9 in neither. Work out the probability a random one is in both.
- 3Box Plots2 marks
A box plot has minimum 5, lower quartile 7, median 12, upper quartile 20 and maximum 25. Work out the interquartile range.
- 4Surds2 marks
Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 5Expanding and Factorising Quadratics2 marks
Factorise x^2 - 9.
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